Simplified Least Squares Shadowing sensitivity analysis for chaotic ODEs and PDEs
Dynamical Systems
2017-05-02 v2
Abstract
This paper develops a variant of the Least Squares Shadowing (LSS) method, which has successfully computed the derivative for several chaotic ODEs and PDEs. The development in this paper aims to simplify Least Squares Shadowing method by improving how time dilation is treated. Instead of adding an explicit time dilation term as in the original method, the new variant uses windowing, which can be simpler to implement, especially for PDEs.
Cite
@article{arxiv.1601.05061,
title = {Simplified Least Squares Shadowing sensitivity analysis for chaotic ODEs and PDEs},
author = {Mario Chater and Angxiu Ni and Qiqi Wang},
journal= {arXiv preprint arXiv:1601.05061},
year = {2017}
}
Comments
21 pages, 4 figures